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Finding the Fourth Proportional to 762.44, 1,052.64 and 513.80

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Solution

The fourth proportional to 762.44, 1,052.64 and 513.80 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.44 : 1,052.64 = 513.80 : x
  2. Step 2: Convert to fraction form
    762.44/1,052.64 = 513.80/x
  3. Step 3: Cross multiply
    762.44x = 1,052.64 × 513.80
  4. Step 4: Simplify right side
    762.44x = 540,846.43
  5. Step 5: Solve for x
    x = 540,846.43/762.44
  6. Step 6: Final answer
    x = 709.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.